2x-4(x+2)=5(x+21)+69

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Solution for 2x-4(x+2)=5(x+21)+69 equation:


Simplifying
2x + -4(x + 2) = 5(x + 21) + 69

Reorder the terms:
2x + -4(2 + x) = 5(x + 21) + 69
2x + (2 * -4 + x * -4) = 5(x + 21) + 69
2x + (-8 + -4x) = 5(x + 21) + 69

Reorder the terms:
-8 + 2x + -4x = 5(x + 21) + 69

Combine like terms: 2x + -4x = -2x
-8 + -2x = 5(x + 21) + 69

Reorder the terms:
-8 + -2x = 5(21 + x) + 69
-8 + -2x = (21 * 5 + x * 5) + 69
-8 + -2x = (105 + 5x) + 69

Reorder the terms:
-8 + -2x = 105 + 69 + 5x

Combine like terms: 105 + 69 = 174
-8 + -2x = 174 + 5x

Solving
-8 + -2x = 174 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-8 + -2x + -5x = 174 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-8 + -7x = 174 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -7x = 174 + 0
-8 + -7x = 174

Add '8' to each side of the equation.
-8 + 8 + -7x = 174 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 174 + 8
-7x = 174 + 8

Combine like terms: 174 + 8 = 182
-7x = 182

Divide each side by '-7'.
x = -26

Simplifying
x = -26

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